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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis (shelfmarks Leibn. Marg. 100:1/2, Stück 2; Leibn. Marg. 100:1/2)
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DE SECTIOHIBUS
Cap. TII.
57. Verum hic proxime notandum c; F, P, (quarum areus complene lemi-
circumterentiam,) et A, S, similiter, (per S9 Cap. L. ) candem poltulati ubleH.
tam duxli areus; C adteoque mulco magis eandem quadrupli.) HOC Cst, =  L est
subrenta dupli AcCuIF, XP: FT = subrenta dupli decus M, et 5.
58. Subrensa isitur tripli arcus F, (quadrante minoris, adeoque multo magis
minoris trience,) est, per 52, 5, cap. Praeced P AF. = R 94
tentam simpli arcus F.
R4
59. Sed eadem subren (a tripli arcus, per 58, 9, cap. praececl. est 3 R GF. = FC
60. ErEO = DE = RGF. -P gF
POF
R9
R9
Ec
R9
E) - 3RgF. - F. C,
R9
R9 (= 3F -
= + L. - F et asereeacum subcentarum tripli de simpli areus.
EC
R
DEt
6r. Ouod etiam sic alias probetur. Ononiam P q. L R. 4 = 4 R g (PTOpter an-
gulum in lemicirento); adeoque P9 = 4 Rg - F. 9, e PgF = 4 R gH. = F. C,
CAPAE = RAE =3 RGF. = FC. FHGB, CAV LGF -3R9F -F C st
subrenta cripli accus; _t PAP. - 4 R 9F - CC
ec simpli.
R9  R9
29 129
Rg) est subrenta rripli accus A: F1
carum cripti ec simpli.
9A
R9
axgregatum subcentarum cripli
G2 B eatem raione, d9A = R9 A, - 89 a
1c
3Rga - ne (- 3A -
R9
R9 = +A- AC aeeregacum subren.
R9
63. Elt aurem arcus P (quadrans auctus areu A, majore sui SCBIENIO) major
quam criens sed minor duobus eriencibus; adeoque subiripti arcus hrujus (per 529,
32 cap. praeced.) R4P = F. gP
R4
64 EGORAP- EqC
i et (per 537 cap. praced.)
= P -. E. 4P, eC = 3RaP
R4
R4
c = 3R9P
R9
Pc
R9 32) est
Tubten(a
las
t v
l. II
61. ded
lve
ept
lue
cea